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VOL. 10 | 2009 A Note on Poisson Lie Algebroids
Liviu Popescu

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

Abstract

In this paper we study some properties of a Lie algebroid and its prolongation over the vector bundle projection of the dual bundle. We generalize some results on Poisson manifolds to the level of a Lie algebroid. The notions of canonical Poisson bivector and horizontal lift are studied and their compatibility conditions are pointed out.

Information

Published: 1 January 2009
First available in Project Euclid: 13 July 2015

zbMATH: 1226.53079
MathSciNet: MR2757837

Digital Object Identifier: 10.7546/giq-10-2009-227-236

Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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